Well, in contra dance, most of the calls that involve constant spinning do so at a constant G force (i.e., a contra dance balance and swing for eight measures); you're spinning in time to music at a constant angular velocity, so as long as you look at something which isn't moving with respect to your inertial frame of reference (for example, like your partner, or your partner's eyes :-), it doesn't any kind of dizzyness -- really!

Hmm... I'm reminded about trying to tell Stacey how I didn't get dizzy while being subjected to acrobatics in a small aircraft, since "down" was more or less constant, at least for some maneauvers. Somehow it's less pursuasive when you're trying to tell someone in words...